Terminology in Interpretive Structural Modeling

#	Term	Short Explanation	References
1	Flexible Interpretive Structural Modeling	Extended version of Warfield's ISM; allows corrections while a structural model is being developed, or after it has been developed.	Ohuchi & Kaji, 1989.
2	Implication-matrix Model	mmmmmmmm	ref
3	Correction Procedures	Procedures and algorithms for editing an ISM structural model while if being developed or after it is completed	ref
4	Implication Structure	mmmmmmmm	ref
5	Scanning Method of Implication Matrix Development	mmmmmmmm	ref
6	Coupling Method of Implication Matrix Development	mmmmmmmm	ref
7	Transitive Coupling Problem	The problem of interconnecting two multilevel subsystem models defined on the same contextual relation that is transitive.	ref
8	Self-implication Matrix	mmmmmmmm	ref
9	Initial Inference Opportunity	mmmmmmmm	ref
10	Hybrid-implication Matrix	mmmmmmmm	ref
11	Counting in Vectors	mmmmmmmm	ref
12	Complete Implication Matrix Ψ	mmmmmmmm	ref
13	Total Interpretive Structural Modeling	Approach used for theory building; helps researchers answer the fundamental research questions of what, how, and why; helps identify and define the variables, the relationship between them, and the reason for causality between variables.	ref
15	Inference opportunity	mmmmmmmm	ref
16	Transitive bordering	Special case of Transitive Coupling in which the sub-system B consists of a single element.	ref
17	Transitive System	A system whose elements are related with Transitive Relations.	ref
18	Pivot Element	mmmmmmmm	ref
19	Implication Structure	mmmmmmmm	ref
20	Bordering Reachability Matrix	mmmmmmmm	ref
21	(Original) Reachability Matrix	mmmmmmmm	ref
22	Question Algorithm	The logic used to select the next unknown for questioning	ref
23	Zero-First Procedure	mmmmmmmm	ref
24	One-first Procedure	Performed when the One-first Selection Rule is chosen.	ref
25	Inference Opportunity	mmmmmmmm	ref
26	Interpretive Matrix	A table of the relationships between pairs of factors of an ISM explained in plain text.	Sushil 2012;
27	Interpretive Structural Modeling	Methodology for identifying relationships among specific items, which define a problem or an issue. Process that transforms unclear and poorly articulated mental models of systems into visible, well-defined models useful for many purposes.	Rajesh et al 2013 Shushil 2012
28	Structural Self-Interaction Matrix	ref
29	Deletion Procedure	Deletion of one or more elements and their connections in the M matrix.	ref
30	Addition Procedure	Addition of one or more elements and their connections in the M matrix.	ref
31	Standard Form to Condensation Matrix	Replace a cycle set with one of the elements in the set.	ref
32	Hierarchical Matrices		ref
33	Characteristic Logic Equation	Expresses the necessary and sufficient conditions to be satisfied by the entries in an Interconnection Matrix MBA, that interconnects two hierarchical digraphs A* and B* for which MAB = 0.	ref
34	Cascade Interconnection of Digraphs	Two Digraphs are said to be cascaded if all interconnections are oriented from one of the digraphs to the other.	ref
35	Digraphs	A directed graph, also called a digraph, is a graph in which the edges have a direction.	ref
36	Reachability Matrix	Reachability refers to the ability to get from one vertex to another within a graph.	ref
37	Structural Equation Modeling	Set of statistical techniques used to measure and analyze the relationships of observed and latent variables.	ref
38	Transitive Relations	Relationships for which if element X is related to element Y, and element Y is related to element Z of the set, we can derive thatelement A must be related to element Z.	ref
39	Transitive Closure	...	ref
40	Binary Matrices	All elements are either 0 or 1; In ISM they are square.	ref
41	Partitioning of an Element	e.	ref
41	Binary Matrix Model	A binary matrix and three associations(indicated by colons),i.e., M = { N, V:Is, H: It, R̂: R }	ref